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Two events A and B are independent events if the occurrence of either of these events does not affect the occurrence of the other. It is also said that they are independent if and only if the probability that both events occur is equal to the product of the individual probabilities.

For example, consider drawing two marbles from a bowl, one at a time.

The probability of first picking a green marble can be calculated by dividing the favorable outcomes by the possible outcomes. Let G, B, and O be the events of drawing green, blue, and orange marbles, respectively. There is 1 green marble and 3 marbles in total.

Two events A and B are considered dependent events if the occurrence of either of these events affects the occurrence of the other. If the events are dependent, the probability that both events occur is equal to the product of the probability of the first event occurring and the probability of the second event occurring after the first event.

For example, consider drawing two marbles from a bowl, one at a time.

The probability of first picking a green marble can be calculated by dividing the favorable outcomes by the possible outcomes. Let G, B, and O be the events of drawing green, blue, and orange marbles, respectively. There is 1 green marble and 3 marbles in total.

This affects the probability of picking an orange marble on the second draw. Now there is still 1 orange marble, but instead of 3, there are 2 marbles in total.

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